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A triangle has an area of 25 cm^2. A second triangle is similar to it with each side three times the corresponding side of the first. What is the area of the larger triangle?

1. 75 cm^2
2. 150 cm^2
3. 225 cm^2
4. 300 cm^2

Correct answer: 225 cm^2

Solution

Areas of similar triangles vary as the square of the side ratio. With sides tripled the area becomes 3^2 = 9 times larger, so 25 x 9 = 225 cm^2.

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